Question

Lorenzo tried to evaluate an expression. Here is his work:
5•32-23+6
Step 1
=152-23+6
Step 2
= 225 - 8 + 6
Step 3
= 217 + 6
Step 4
= 223
Is Lorenzo's work correct?
No, Lorenzo made a mistake going from the given expression to Step 1. Lorenzo should have squared 3 before multiplying. The order of operations says to evaluate exponents before you multiply.
No, Lorenzo made a mistake going from Step 2 to Step 3.
Lorenzo should have added 8 and 6 before subtracting. The order of operations says to add before you subtract.
Yes, Lorenzo's work is correct.

Answer 1

No, Lorenzo made a mistake going from the given expression to Step 1. Lorenzo should have squared 3 before multiplying. The order of operations (PEMDAS/BODMAS) says to evaluate exponents before you multiply.

Here's the correct evaluation of the expression \(5 \cdot 3^2 - 2^3 + 6\):

1. **Evaluate exponents:**
\[3^2 = 9\]
\[2^3 = 8\]

So the expression becomes:
\[5 \cdot 9 - 8 + 6\]

2. **Multiply:**
\[5 \cdot 9 = 45\]

Now, the expression is:
\[45 - 8 + 6\]

3. **Subtract and add from left to right:**
\[45 - 8 = 37\]
\[37 + 6 = 43\]

Thus, the correct final answer is 43. Lorenzo's work is incorrect.